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Finding the Fourth Proportional to 107,190.84, 147,928.14 and 59,440.98

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Solution

The fourth proportional to 107,190.84, 147,928.14 and 59,440.98 is: 82,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,190.84 : 147,928.14 = 59,440.98 : x
  2. Step 2: Convert to fraction form
    107,190.84/147,928.14 = 59,440.98/x
  3. Step 3: Cross multiply
    107,190.84x = 147,928.14 × 59,440.98
  4. Step 4: Simplify right side
    107,190.84x = 8,792,993,611.18
  5. Step 5: Solve for x
    x = 8,792,993,611.18/107,190.84
  6. Step 6: Final answer
    x = 82,031.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.